# Add Two Numbers

I’m trying to get in a habit of starting my mornings off with coffee and a Leetcode problem before work. Ease my way into the day and get the brain juices flowing. Let’s jump in!

## Add Two Numbers

### Problem

You are given two non-empty linked lists representing two non-negative integers. The digits are stored in reverse order and each of their nodes contain a single digit. Add the two numbers and return it as a linked list.

You may assume the two numbers do not contain any leading zero, except the number 0 itself.

Example:

```
Input: (2 -> 4 -> 3) + (5 -> 6 -> 4)
Output: 7 -> 0 -> 8
Explanation: 342 + 465 = 807.
```

### Thinking

This one took me a few swings, mainly because I didn’t read that the return value was supposed to be a linked list. I had implemented the logic to sum the linked lists properly and then realized I’d have to iterate over the resulting integer to build a list. Bleh. So I started over so I could implement it in a single iteration of `O(N)`

time.

The solution works as follows:

Continue looping while either of the nodes has a `next`

value.

Sum digits from each list. Use zero if we’ve exhausted one of the lists. Track a “carry” if sum is greater than 10. Result list should only store `sum % 10`

so it only stores a single digit.

If we’re at the end of both lists, check to see if we still have a “carry”. If so, need to append another node to result list with the value of `1`

.

### Corner Cases

The following corner cases are what I missed in my initial solution:

- The final “carry” when both lists were exhausted.

### Improvements

I feel like the tracking of the head node relative to the result list moving pointer code is messy.

### Solution

```
# Definition for singly-linked list.
# class ListNode:
# def __init__(self, x):
# self.val = x
# self.next = None
class Solution:
def addTwoNumbers(self, l1: ListNode, l2: ListNode) -> ListNode:
carry = 0
head = l3 = ListNode(None)
while True:
if not l1 and not l2:
if carry:
l3.next = ListNode(carry)
break
l1_val = l1.val if l1 else 0
l2_val = l2.val if l2 else 0
value = l1_val + l2_val + carry
digit = value % 10
if l3.val is None:
l3.val = digit
head = l3
else:
l3.next = ListNode(digit)
l3 = l3.next
carry = 1 if value >= 10 else 0
l1 = l1.next if l1 else None
l2 = l2.next if l2 else None
return head
```

### Score

```
Runtime: 68 ms, faster than 77.41% of Python3 online submissions for Add Two Numbers.
Memory Usage: 13.8 MB, less than 5.67% of Python3 online submissions for Add Two Numbers.
```